#271
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Three
I think you should raise his ass three times, unless there's more to this than I see, and there probably is because you guys are all geniuses and everything. There are too many replies to read.
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#272
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Re: Head Up Theory Question
Is the equivalent problem, but with a smaller decks, so much less interesting that they are not worth trying to "solve" first? Maybe we can we then extrapolate to put limits on the result with a million card deck. What if the deck had 5 cards, and you were dealt the 4. How many raises would you put in before you called?
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#273
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Re: Head Up Theory Question
[ QUOTE ]
Is the equivalent problem, but with a smaller decks, so much less interesting that they are not worth trying to "solve" first? Maybe we can we then extrapolate to put limits on the result with a million card deck. What if the deck had 5 cards, and you were dealt the 4. How many raises would you put in before you called? [/ QUOTE ] With 5 cards and at most 45 bets/raises, one optimal solution does the following: you open the betting 13% of the time and fold 100% of the time if raised. Marv |
#274
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Re: Head Up Theory Question
Marv,
What about when the deck has 100 cards. When does the 99-player call/fold? It seems that after a point having more available raises in the game wouldn't change much for any optimal strategy. For example: in the 100 card game, I would imagine the 99-player would never go beyond say the 5th raise. How are you figuring this out? Do you have a program or something? |
#275
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Re: Head Up Theory Question
Marv, your response is interesting, but you are proposing not to initially bet often. Sklansky's question states that you lay the first bet. How does your answer to the 5-card deck change if you force yourself to make the first bet?
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#276
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oops I mean nine
I thought it was 999 out of 1000.
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#277
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Re: Head Up Theory Question
[ QUOTE ]
Marv, your response is interesting, but you are proposing not to initially bet often. Sklansky's question states that you lay the first bet. How does your answer to the 5-card deck change if you force yourself to make the first bet? Thanks [/ QUOTE ] If the first player must raise at his first action with a 4, then he should call a raise 72.5% of the time and fold 27.5% . However this game is much worse than if he is allowed to check with a 4. It's value is -8.4% rather than -5.2% if he is allowed to check with a 4. Marv |
#278
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Re: Head Up Theory Question
[ QUOTE ]
Marv, What about when the deck has 100 cards. When does the 99-player call/fold? It seems that after a point having more available raises in the game wouldn't change much for any optimal strategy. For example: in the 100 card game, I would imagine the 99-player would never go beyond say the 5th raise. How are you figuring this out? Do you have a program or something? [/ QUOTE ] [I have a program for these sorts of games.] With 100 cards (and at most 25 raises), an optimal strategy with a 99 is to open the betting 95% of the time and then call after the 4th bet/raise: us them bet raise raise raise call Your intuition is right! Marv |
#279
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Re: Head Up Theory Question
[ QUOTE ]
[I have a program for these sorts of games.] With 100 cards (and at most 25 raises), an optimal strategy with a 99 is to open the betting 95% of the time and then call after the 4th bet/raise: [/ QUOTE ] Marv, can your code do more than a 100-card deck? Could you do the series of decks: 10, 20, 40, 80, 160, 320 and see if there is a trend, to extrapolate to a million, as to when you should stop raising and call? Thanks |
#280
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Re: Head Up Theory Question
Marv, cool, thanks for running that 100 card scenario for me.
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